Λ^s_δ-symmetric

Definition

• A topological space (X,τ) is (Λ,sδ)-symmetric if for points x and y in X, , where is the (Λ,sδ)-closure of the set {x}.

Property

• For a (Λ,sδ)-symmetric space X, the following are equivalennt:
  1. X is Λ^s_δ-D_0.
  2. X is Λ^s_δ-D_1.

Reference

• Caldas, M.; Ganster, M.; Georgiou, D. N.; Jafari, S.; Moshokoa, S. P., δ-semiopen sets in topology. (English summary), Proceedings of the 19th Summer Conference on Topology and its Applications., Topology Proc. 29 (2005), no. 2, 369–383.